書目名稱 | Coherent States, Wavelets, and Their Generalizations | 編輯 | Syed Twareque Ali,Jean-Pierre Antoine,Jean-Pierre | 視頻video | http://file.papertrans.cn/230/229226/229226.mp4 | 概述 | Allows the user to take a classical (non-quantum) view of quantum states in physics.Discusses particular new types of coherent states and various generalizations of wavelets with fully updated coverag | 叢書名稱 | Theoretical and Mathematical Physics | 圖書封面 |  | 描述 | .This second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics) and various generalizations of wavelets (wavelets on manifolds, curvelets, shearlets, etc.). In addition, it contains a new chapter on coherent state quantization and the related probabilistic aspects. As a survey of the theory of coherent states, wavelets, and some of their generalizations, it emphasizes mathematical principles, subsuming the theories of both wavelets and coherent states into a single analytic structure. The approach allows the user to take a classical-like view of quantum states in physics..Starting from the standard theory of coherent states over Lie groups, the authors generalize the formalism by associating coherent states to group representations that are square integrable over a homogeneous space; a further step allows one to dispense with the group context altogether. In this context, wavelets can be generated from coherent states of the affine group of the real line, and higher-dimensional wavelets arise from coherent states of other gro | 出版日期 | Book 2014Latest edition | 關(guān)鍵詞 | Canonical coherent states; Coherent states; Lie groups; Probabilistic aspects; Quantum measurement probl | 版次 | 2 | doi | https://doi.org/10.1007/978-1-4614-8535-3 | isbn_softcover | 978-1-4939-5025-6 | isbn_ebook | 978-1-4614-8535-3Series ISSN 1864-5879 Series E-ISSN 1864-5887 | issn_series | 1864-5879 | copyright | Springer Science+Business Media New York 2014 |
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